Q17. - Algebra 2

Question

State the slope and y-intercept of the graph of each equation.

17. $\mathbf{x}=\mathbf{7}$

Step-by-Step Solution

Answer

The slope of the given line is undefined and the given line has no y-intercept.

Step 1 – State the concept

The general equation of a straight line in slope-intercept form is given as $y=mx+c$, where $m$ is the slope and $c$ is the y-intercept.

 

The slope of a vertical line is undefined and a vertical line does not have a y-intercept.

Step 2 – List the given data

The given equation of the line is $x=7$.

Step 3 – Identify the slope and intercept

The straight lines having equation of the form $x=a$ are vertical lines.

 

The given straight line has equation $x=7$ and is thus a vertical line.

 

It is known that the slope of a vertical line is undefined and a vertical line does not have a y-intercept.

 

Thus, the given straight line, $x=7$ has no y-intercept and its slope is undefined.